By diluting a weak electrolyte, specific conductivity `(K_(c))` and equivalent conductivity `(lamda_(c))` change as

Options

A. both increase
B. `K_(c)` increases `lamda_(c)` decreases
C. `K_(c)` decreases, `lamda_(c)` increases
D. Both decreases

Explanation

To solve the question regarding how specific conductivity `(K_c)` and equivalent conductivity `(λ_c)` change when a weak electrolyte is diluted, we can follow these steps:

### Step-by-Step Solution:

1. **Understand Conductivity**:
- Conductivity is a measure of a solution's ability to conduct electricity, which depends on the concentration of ions in the solution.

2. **Specific Conductivity (K_c)**:
- Specific conductivity `(K_c)` is defined as the conductivity of a solution per unit concentration of the electrolyte.
- When a weak electrolyte is diluted, the concentration of ions in the solution decreases. This leads to a decrease in the number of charge carriers (ions) available to conduct electricity.
- Therefore, as the weak electrolyte is diluted, the specific conductivity `(K_c)` decreases.

3. **Equivalent Conductivity (λ_c)**:
- Equivalent conductivity `(λ_c)` is defined as the conductivity of a solution divided by the number of equivalents of solute in that solution.
- When a weak electrolyte is diluted, the extent of ionization increases. This means that more ions are produced from the weak electrolyte as it is diluted, leading to an increase in the number of charge carriers.
- As a result, even though the concentration decreases, the increase in ionization leads to an increase in equivalent conductivity `(λ_c)`.

4. **Conclusion**:
- In summary, when a weak electrolyte is diluted:
- Specific conductivity `(K_c)` decreases.
- Equivalent conductivity `(λ_c)` increases.

### Final Answer:
- By diluting a weak electrolyte, specific conductivity `(K_c)` decreases, and equivalent conductivity `(λ_c)` increases.